Atkin-Lehner |
2+ 3+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370d |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
-2643300000 = -1 · 25 · 33 · 55 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52,-2448] |
[a1,a2,a3,a4,a6] |
j |
15087533111/2643300000 |
j-invariant |
L |
0.67948792729933 |
L(r)(E,1)/r! |
Ω |
0.67948792730037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110co1 |
Quadratic twists by: -3 |